506363540300 has 144 divisors (see below), whose sum is σ = 1152451238400. Its totient is φ = 192750835200.

The previous prime is 506363540261. The next prime is 506363540317. The reversal of 506363540300 is 3045363605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665391920 + ... + 665392680.

It is an arithmetic number, because the mean of its divisors is an integer number (8003133600).

Almost surely, 2^506363540300 is an apocalyptic number.

506363540300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506363540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576225619200).

506363540300 is an abundant number, since it is smaller than the sum of its proper divisors (646087698100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506363540300 is a wasteful number, since it uses less digits than its factorization.

506363540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

The spelling of 506363540300 in words is "five hundred six billion, three hundred sixty-three million, five hundred forty thousand, three hundred".